[HTML][HTML] Solution of time fractional Fitzhugh–Nagumo equation using semi analytical techniques
In this work, we apply three different techniques to solve the Fitzhugh–Nagumo equation that
is an important equation used to describe the propagation of electrical signals in excitable …
is an important equation used to describe the propagation of electrical signals in excitable …
[HTML][HTML] New approximation solution for time-fractional Kudryashov-Sinelshchikov equation using novel technique
KK Ali, M Maneea - Alexandria Engineering Journal, 2023 - Elsevier
In this paper, a novel method presented in [1] is applied to solve time-fractional Kudryashov-
Sinelshchikov equation (KS equation), a nonlinear fractional partial differential equation …
Sinelshchikov equation (KS equation), a nonlinear fractional partial differential equation …
An efficient approximate analytical technique for the fractional model describing the solid tumor invasion
In this manuscript, we derive and examine the analytical solution for the solid tumor invasion
model of fractional order. The main aim of this work is to formulate a solid tumor invasion …
model of fractional order. The main aim of this work is to formulate a solid tumor invasion …
Solving Nonlinear Fractional Models in Superconductivity Using the q‐Homotopy Analysis Transform Method
KK Ali, M Maneea, MS Mohamed - Journal of Mathematics, 2023 - Wiley Online Library
The Ginzburg–Landau (GL) equation and the Ginzburg–Landau couple system are
important models in the study of superconductivity and superfluidity. This study describes the …
important models in the study of superconductivity and superfluidity. This study describes the …
Insights into time fractional dynamics in the Belousov-Zhabotinsky system through singular and non-singular kernels
SAM Alsallami, M Maneea, EM Khalil… - Scientific Reports, 2023 - nature.com
In the realm of nonlinear dynamics, the Belousov-Zhabotinsky reaction system has long held
the fascination of researchers. The Belousov-Zhabotinsky system continues to be an active …
the fascination of researchers. The Belousov-Zhabotinsky system continues to be an active …
Some exact solutions of a variable coefficients fractional biological population model
AH Abdel Kader, MS Abdel Latif… - … Methods in the Applied …, 2021 - Wiley Online Library
In this paper, we investigate the exact solutions of a nonlinear variable coefficients time
fractional biological population model using the invariant subspace method. The subspaces …
fractional biological population model using the invariant subspace method. The subspaces …
The effect of the parameters of the generalized fractional derivatives on the behavior of linear electrical circuits
This paper presents the analytical solutions of two fractional linear electrical systems
modeled with generalized fractional derivatives and integrals. The fractional differential …
modeled with generalized fractional derivatives and integrals. The fractional differential …
Fractional modeling of drug diffusion from cylindrical tablets based on Fickian and relaxed approaches with in vivo validation
Mathematical simulation of drug diffusion is a significant tool for predicting the bio‐transport
process. Moreover, the reported models in the literature are based on Fick's approach …
process. Moreover, the reported models in the literature are based on Fick's approach …
The invariant subspace method for solving nonlinear fractional partial differential equations with generalized fractional derivatives
In this paper, we show that the invariant subspace method can be successfully utilized to get
exact solutions for nonlinear fractional partial differential equations with generalized …
exact solutions for nonlinear fractional partial differential equations with generalized …
Symmetries, conservation laws and group invariant solutions of fractional PDEs
RK Gazizov, AA Kasatkin… - Fractional Differential …, 2019 - degruyter.com
We give the extensions of several basic techniques of Lie group analysis which are intended
for symmetry properties investigation of fractional partial differential equations. The …
for symmetry properties investigation of fractional partial differential equations. The …